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Sur une variante des troncatures d’Arthur

  • Pierre-Henri Chaudouard
Conference paper
Part of the Simons Symposia book series (SISY)

Abstract

We show that, for a large class of test functions, the unipotent contributions in the trace formula for GL(n) over a number field, can be obtained from zeta functions and integrals of Eisenstein series. The main innovation is a new truncation borrowed from a work of Schiffmann on Higgs bundles.

Keywords

Arthur-Selberg trace formula Eisenstein series Orbital integral Unipotent contribution Zeta integral Reduction theory 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Université Paris Diderot (Paris 7) et Institut Université de France, Institut de Mathématiques de Jussieu-Paris Rive Gauche, UMR 7586PARIS Cedex 13France

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